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Finding the Fourth Proportional to 1,708.52, 2,357.48 and 962.38

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Solution

The fourth proportional to 1,708.52, 2,357.48 and 962.38 is: 1,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.52 : 2,357.48 = 962.38 : x
  2. Step 2: Convert to fraction form
    1,708.52/2,357.48 = 962.38/x
  3. Step 3: Cross multiply
    1,708.52x = 2,357.48 × 962.38
  4. Step 4: Simplify right side
    1,708.52x = 2,268,791.60
  5. Step 5: Solve for x
    x = 2,268,791.60/1,708.52
  6. Step 6: Final answer
    x = 1,327.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.